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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 379 · 40 sums
TalentJR

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

NameDateTime takenScore ___ / 40
  1. 1.Solve: 5t + 9 = 4t + 12. What is t?
  2. 2.The sum of three consecutive whole numbers is 63. What is the largest of them?
  3. 3.Solve: p/6 + p/3 = 12. What is p?
  4. 4.Solve: x/3 + x/5 = 64. What is x?
  5. 5.Solve: 4(m − 4) = 3m + 1. What is m?
  6. 6.A father is 45 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  8. 8.The sum of two consecutive whole numbers is 103. What is the largest of them?
  9. 9.Solve: 5n + 11 = 3n + 17. What is n?
  10. 10.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  11. 11.Solve: 4(y − 5) = 2y + 10. What is y?
  12. 12.Solve: 9y + 16 = 7y + 34. What is y?
  13. 13.Solve: 5(t − 3) = 2t + 12. What is t?
  14. 14.Solve: 5(t − 3) = t + 17. What is t?
  15. 15.Solve: 7n + 3 = 6n + 14. What is n?
  16. 16.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  17. 17.Solve: 3(y − 5) = 2y + 1. What is y?
  18. 18.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  19. 19.Solve: 4n + 18 = 2n + 28. What is n?
  20. 20.The sum of two consecutive whole numbers is 121. What is the largest of them?
  21. 21.Solve: 8x + 1 = 4x + 41. What is x?
  22. 22.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  23. 23.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: 5(n − 1) = 3n + 5. What is n?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  26. 26.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  27. 27.Solve: 6y + 18 = 2y + 26. What is y?
  28. 28.Solve: 6(m − 1) = m + 4. What is m?
  29. 29.Solve: x/6 + x/3 = 24. What is x?
  30. 30.A father is 10 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Solve: 8p + 14 = p + 77. What is p?
  32. 32.Solve: 5(y − 2) = 2y + 29. What is y?
  33. 33.A father is 16 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  34. 34.Solve: t/2 + t/4 = 21. What is t?
  35. 35.Solve: m/3 + m/6 = 21. What is m?
  36. 36.Solve: 4(p − 3) = 2p + 10. What is p?
  37. 37.Solve: 6t + 13 = t + 48. What is t?
  38. 38.Solve: 6(x − 4) = 3x + 24. What is x?
  39. 39.A father is 54 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  40. 40.The length of a rectangle is 2 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?

Answer key

  1. 3
  2. 22
  3. 24
  4. 120
  5. 17
  6. 10
  7. 28
  8. 52
  9. 3
  10. 11
  11. 15
  12. 9
  13. 9
  14. 8
  15. 11
  16. 3
  17. 16
  18. 12
  19. 5
  20. 61
  21. 10
  22. 39
  23. 5
  24. 5
  25. 24
  26. 12
  27. 2
  28. 2
  29. 48
  30. 3
  31. 9
  32. 13
  33. 3
  34. 28
  35. 42
  36. 11
  37. 7
  38. 16
  39. 12
  40. 18

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